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Finding the Fourth Proportional to 21,698.15, 32,547.23 and 7,843.91

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Solution

The fourth proportional to 21,698.15, 32,547.23 and 7,843.91 is: 11,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.15 : 32,547.23 = 7,843.91 : x
  2. Step 2: Convert to fraction form
    21,698.15/32,547.23 = 7,843.91/x
  3. Step 3: Cross multiply
    21,698.15x = 32,547.23 × 7,843.91
  4. Step 4: Simplify right side
    21,698.15x = 255,297,542.87
  5. Step 5: Solve for x
    x = 255,297,542.87/21,698.15
  6. Step 6: Final answer
    x = 11,765.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.